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Finding the Third Proportional to 49,587 and 74,489

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Solution

The third proportional to 49,587 and 74,489 is: 111,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,587 : 74,489 = 74,489 : x
  2. Step 2: Convert to fraction form
    49,587/74,489 = 74,489/x
  3. Step 3: Cross multiply
    49,587x = 74,489 × 74,489
  4. Step 4: Simplify right side
    49,587x = 5,548,611,121
  5. Step 5: Solve for x
    x = 5,548,611,121/49,587
  6. Step 6: Final answer
    x = 111,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.